28328832 has 128 divisors (see below), whose sum is σ = 95635200. Its totient is φ = 8087040.

The previous prime is 28328831. The next prime is 28328843. The reversal of 28328832 is 23882382.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28328831) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23607 + ... + 24777.

It is an arithmetic number, because the mean of its divisors is an integer number (747150).

Almost surely, 2^28328832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28328832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47817600).

28328832 is an abundant number, since it is smaller than the sum of its proper divisors (67306368).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

28328832 is a wasteful number, since it uses less digits than its factorization.

28328832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1201 (or 1183 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 28328832 is about 5322.4836307874. The cubic root of 28328832 is about 304.8429972202.

It can be divided in two parts, 2832 and 8832, that added together give a square (11664 = 108²).

The spelling of 28328832 in words is "twenty-eight million, three hundred twenty-eight thousand, eight hundred thirty-two".